Adding, Subtracting, and Multiplying Radicals

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, most commonly the square root (√) or cube root (∛).

Front

How do you simplify √a × √b?

Back

√a × √b = √(a × b).

Front

What is the result of √a + √a?

Back

√a + √a = 2√a.

Front

What is the result of √a - √a?

Back

√a - √a = 0.

Front

How do you add or subtract radicals?

Back

You can only add or subtract radicals with the same index and radicand (e.g., √2 + √2 = 2√2).

Front

What is the simplified form of √8?

Back

√8 = 2√2.

Front

What is the result of 3√2 - 3√18?

Back

-6√2.

Front

How do you multiply two radicals?

Back

Multiply the numbers inside the radicals and then simplify if possible.

Front

What is the result of √5 × √10?

Back

5√2.

Front

What is the result of √10 ⋅ √45?

Back

15√2.